13938321024 has 64 divisors (see below), whose sum is σ = 41137416000. Its totient is φ = 4646105856.

The previous prime is 13938320999. The next prime is 13938321041. The reversal of 13938321024 is 42012383931.

13938321024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13938321024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2013084 + ... + 2019995.

It is an arithmetic number, because the mean of its divisors is an integer number (642772125).

Almost surely, 2^13938321024 is an apocalyptic number.

It is an amenable number.

13938321024 is an abundant number, since it is smaller than the sum of its proper divisors (27199094976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13938321024 is an equidigital number, since it uses as much as digits as its factorization.

13938321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033102 (or 4033084 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13938321024 in words is "thirteen billion, nine hundred thirty-eight million, three hundred twenty-one thousand, twenty-four".